On transformations into normal form (Q1323128)
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scientific article; zbMATH DE number 566495
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On transformations into normal form |
scientific article; zbMATH DE number 566495 |
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On transformations into normal form (English)
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9 May 1994
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The author discusses a certain transformation of the vector equation \(x^ \bullet = f(x)\) to the normal form near a stationary point. It is shown that this transformation preserves certain subalgebras of the Lie algebra of all analytic vector fields and also some modules over such Lie algebras. The author obtains a programming algorithm for the computation of the normal forms. The transformation introduced is modified to compute the normal forms on the invariant manifold. The results are illustrated by examples.
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transformation
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normal form
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stationary point
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Lie algebra
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analytic vector fields
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programming algorithm
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invariant manifold
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